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Finding the Fourth Proportional to 563,816.88, 778,066.29 and 309,184.47

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Solution

The fourth proportional to 563,816.88, 778,066.29 and 309,184.47 is: 426,674.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,816.88 : 778,066.29 = 309,184.47 : x
  2. Step 2: Convert to fraction form
    563,816.88/778,066.29 = 309,184.47/x
  3. Step 3: Cross multiply
    563,816.88x = 778,066.29 × 309,184.47
  4. Step 4: Simplify right side
    563,816.88x = 240,566,013,498.52
  5. Step 5: Solve for x
    x = 240,566,013,498.52/563,816.88
  6. Step 6: Final answer
    x = 426,674.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.